A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 508.68 yd. What is the surface area of the sphere? Use 3.14 for pi.
The surface area of the sphere is about ___ yd squared.

The surface area of the sphere is 1017.36yd²

Step-by-step explanation:

To solve this question, we have to determine the radius of the sphere from the circumference of the circle

Circumference of the circle = 508.68 yd

C = 2πr

π = 3.14

508.68 = 2 * 3.14 * r

r = 508.68 / 6.28

r = 81 yd

Surface area of a sphere (A) = 4πr²

A = 4 * 3.14 * 81

A = 1017.36yd²

The surface area of the sphere is 1017.36yd²

b.an increase in a causes b to decrease

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)